"Bruce has gotten a lot of media criticism in the past for getting an ill-advised partial facelift and a nose job," Kardashian tells PEOPLE exclusively as her step-father's latest plastic surgery is documented and revealed on the family's reality show, Keeping Up with the Kardashians.

"He has never ever spoken about this until now," she says of the incident 25 years ago. "It's very heartfelt and I think people will see how sweet and simply human Bruce is."

Regarding Jenner's look on her blog Monday morning, Kardashian writes, "Unfortunately, the result wasn't what Bruce had hoped for and for years since then he has been the victim of cruel taunts from the media. Since he's turning 60 in October, Bruce felt it was time to correct the mistakes made by the previous doctor so he went to a new doctor for a second facelift. The results are amazing! Bruce looks better than ever and he is extremely happy with the result."

This time around the Olympian "just wanted to be more natural and refreshed," adds a source.